Search a number
-
+
768603505013 is a prime number
BaseRepresentation
bin10110010111101000101…
…01101100000101110101
32201110220022002112121222
423023310111230011311
5100043044444130023
61345031440320125
7106346465666141
oct13136425540565
92643808075558
10768603505013
11276a65706383
12104b63913045
135762c4922a6
14292b467c221
1514ed6cb6cc8
hexb2f456c175

768603505013 has 2 divisors, whose sum is σ = 768603505014. Its totient is φ = 768603505012.

The previous prime is 768603504997. The next prime is 768603505037. The reversal of 768603505013 is 310505306867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 531963092164 + 236640412849 = 729358^2 + 486457^2 .

It is a cyclic number.

It is not a de Polignac number, because 768603505013 - 24 = 768603504997 is a prime.

It is a super-2 number, since 2×7686035050132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768603505613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384301752506 + 384301752507.

It is an arithmetic number, because the mean of its divisors is an integer number (384301752507).

Almost surely, 2768603505013 is an apocalyptic number.

It is an amenable number.

768603505013 is a deficient number, since it is larger than the sum of its proper divisors (1).

768603505013 is an equidigital number, since it uses as much as digits as its factorization.

768603505013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 768603505013 in words is "seven hundred sixty-eight billion, six hundred three million, five hundred five thousand, thirteen".